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Finding the Third Proportional to 456.75 and 517.50

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Solution

The third proportional to 456.75 and 517.50 is: 586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 517.50 = 517.50 : x
  2. Step 2: Convert to fraction form
    456.75/517.50 = 517.50/x
  3. Step 3: Cross multiply
    456.75x = 517.50 × 517.50
  4. Step 4: Simplify right side
    456.75x = 267,806.25
  5. Step 5: Solve for x
    x = 267,806.25/456.75
  6. Step 6: Final answer
    x = 586.33

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.